Metrics for bug500, discussion (missed optimization)

analyze97.0ms (0.7%)

Memory

4.0MiB live, 120.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
50.4%	50.4%	49.6%	0%	0%	0%	0%	9
51%	51%	49%	0%	0%	0%	0%	10
51.3%	51.2%	48.7%	0%	0%	0%	0%	11
51.3%	51.3%	48.7%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample3.7s (25.9%)

Memory

95.5MiB live, 3 383.6MiB allocated

Samples

2.1s	5 520×	2	valid
650.0ms	7 776×	1	exit
342.0ms	2 402×	1	valid
21.0ms	334×	0	valid
1.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-log: 1.2s (49.7% of total)

ival-sinh: 718.0ms (30.3% of total)

ival-div: 284.0ms (12% of total)

adjust: 170.0ms (7.2% of total)

ival-true: 13.0ms (0.5% of total)

ival-assert: 6.0ms (0.3% of total)

Bogosity

preprocess186.0ms (1.3%)

Memory

-39.2MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 072×	`accelerator-lowering-fma.f32`
1 072×	`accelerator-lowering-fma.f64`
784×	`-lowering-.f32`
784×	`-lowering-.f64`
648×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	53	15
3	148	15
4	446	15
5	1346	15
6	2402	15
7	2924	15
8	3206	15
9	3244	15
10	3246	15
11	3246	15
0	4	5
1	10	5
2	23	5
3	49	5
4	89	5
5	174	5
6	370	5
7	646	5
8	1122	5
9	1839	5
10	1949	5
11	2011	5
12	2184	5
13	2384	5
14	2458	5
15	2494	5
16	2494	5
17	2518	5
0	2518	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (/ (sinh x) x))

Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))

explain260.0ms (1.8%)

Memory

31.1MiB live, 187.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
144	112	(-3.22899139263646e-204)	2	(-0.24824801289761256)	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	0	-	`(sinh.f64 x)`
0	0	-	0	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	sensitivity	249	2
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	5	0
↳	`(sinh.f64 x)`	overflow	5
↳	`(/.f64 (sinh.f64 x) x)`	overflow	5

Confusion

	Predicted +	Predicted -
+	142	2
-	112	0

Precision

0.5590551181102362

Recall

0.9861111111111112

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	2	0
-	112	0	0

Precision?

0.5625

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

199.0ms	346×	2	valid
19.0ms	144×	1	valid
1.0ms	22×	0	valid

Compiler

Compiled 40 to 20 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-log: 89.0ms (44.7% of total)

adjust: 51.0ms (25.6% of total)

ival-sinh: 42.0ms (21.1% of total)

ival-div: 16.0ms (8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify114.0ms (0.8%)

Memory

-3.8MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(sinh.f64 x)
✓	cost-diff	(/.f64 (sinh.f64 x) x)
✓	cost-diff	(log.f64 (/.f64 (sinh.f64 x) x))

Rules

1 072×	`accelerator-lowering-fma.f32`
1 072×	`accelerator-lowering-fma.f64`
784×	`-lowering-.f32`
784×	`-lowering-.f64`
602×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	10	12
2	23	12
3	49	12
4	89	12
5	174	12
6	370	12
7	646	12
8	1122	12
9	1839	12
10	1949	12
11	2011	12
12	2184	12
13	2384	12
14	2458	12
15	2494	12
16	2494	12
17	2518	12
0	2518	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)
x

Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(/ (sinh x) x)
(/.f64 (sinh.f64 x) x)
(sinh x)
(sinh.f64 x)
x

localize92.0ms (0.7%)

Memory

-11.1MiB live, 145.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (sinh.f64 x) x)
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

74.0ms	173×	2	valid
9.0ms	72×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-log: 34.0ms (52.8% of total)

ival-sinh: 22.0ms (34.2% of total)

ival-div: 5.0ms (7.8% of total)

adjust: 3.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series63.0ms (0.4%)

Memory

-9.9MiB live, 104.7MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log (/ (sinh x) x))>
#<alt (/ (sinh x) x)>
#<alt (sinh x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(log (/ (sinh x) x))
27.0ms	x	@	-inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

rewrite244.0ms (1.7%)

Memory

17.2MiB live, 327.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`-lowering-.f32`
4 024×	`-lowering-.f64`
3 684×	`/-lowering-/.f32`
3 684×	`/-lowering-/.f64`
2 016×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
1	20	11
2	121	11
3	926	11
0	8559	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 444

Calls

Call 1

Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (log.f64 (/.f64 x (.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (neg.f64 (log.f64 (neg.f64 x))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (log.f64 (.f64 (+.f64 x x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) (log.f64 #s(literal -2 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sinh.f64 x)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))

simplify828.0ms (5.9%)

Memory

-150.5MiB live, 568.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 092×	`accelerator-lowering-fma.f32`
16 092×	`accelerator-lowering-fma.f64`
4 562×	`-lowering-.f32`
4 562×	`-lowering-.f64`
2 156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval67.0ms (0.5%)

Memory: -22.9MiB live, 105.7MiB allocated
Compiler: Compiled 9 211 to 1 610 computations (82.5% saved)

prune67.0ms (0.5%)

Memory

3.7MiB live, 161.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	467	13	480
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	467	14	481

Accuracy

98.1%

Counts

481 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.3%	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))))
▶	24.6%	(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
	24.6%	(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
	25.4%	(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
▶	97.5%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
	2.4%	(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
	97.4%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
	97.0%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
▶	96.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	50.3%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	50.2%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	49.9%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	49.6%	(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 484 to 254 computations (47.5% saved)

simplify233.0ms (1.6%)

Memory

10.0MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
✓	cost-diff	128	(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
✓	cost-diff	256	(*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
✓	cost-diff	33664	(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(/.f64 x (sinh.f64 x))
✓	cost-diff	0	(log.f64 (/.f64 x (sinh.f64 x)))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))

Rules

7 408×	`accelerator-lowering-fma.f32`
7 408×	`accelerator-lowering-fma.f64`
2 060×	`-lowering-.f32`
2 060×	`-lowering-.f64`
2 050×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	208
1	100	206
2	273	206
3	679	193
4	1678	191
5	3264	191
6	5467	191
0	8230	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(* x x)
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(* x (+ (* (* x x) -1/37800) 1/2835))
(+ (* (* x x) -1/37800) 1/2835)
-1/37800
1/2835
-1/180
1/6
(* 1/6 (* x x))
1/6
(* x x)
x
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
1/6
(* x x)
x
1
(neg (log (/ x (sinh x))))
(log (/ x (sinh x)))
(/ x (sinh x))
x
(sinh x)
(/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))
(- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x)))))
(pow (log (neg (sinh x))) 2)
(log (neg (sinh x)))
(neg (sinh x))
(sinh x)
x
2
(* (neg (log (neg x))) (neg (log (neg x))))
(neg (log (neg x)))
(log (neg x))
(neg x)
(- (log (neg (sinh x))) (neg (log (neg x))))

Outputs
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
(* x (+ (* (* x x) -1/37800) 1/2835))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(+ (* (* x x) -1/37800) 1/2835)
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
-1/37800
#s(literal -1/37800 binary64)
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(log (+ (* 1/6 (* x x)) 1))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ (* 1/6 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(neg (log (/ x (sinh x))))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log (/ x (sinh x)))
(log.f64 (/.f64 x (sinh.f64 x)))
(/ x (sinh x))
(/.f64 x (sinh.f64 x))
x
(sinh x)
(sinh.f64 x)
(/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x)))))
(-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x))))
(pow (log (neg (sinh x))) 2)
(pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))
(log (neg (sinh x)))
(log.f64 (neg.f64 (sinh.f64 x)))
(neg (sinh x))
(neg.f64 (sinh.f64 x))
(sinh x)
(sinh.f64 x)
x
2
#s(literal 2 binary64)
(* (neg (log (neg x))) (neg (log (neg x))))
(*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))
(neg (log (neg x)))
(neg.f64 (log.f64 (neg.f64 x)))
(log (neg x))
(log.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
(- (log (neg (sinh x))) (neg (log (neg x))))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))

localize227.0ms (1.6%)

Memory

21.1MiB live, 383.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
✓	accuracy	99.6%	(pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))
✓	accuracy	99.2%	(log.f64 (neg.f64 (sinh.f64 x)))
✓	accuracy	78.1%	(-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
✓	accuracy	100.0%	(/.f64 x (sinh.f64 x))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	77.6%	(log.f64 (/.f64 x (sinh.f64 x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	78.4%	(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))

Samples

106.0ms	78×	2	valid
41.0ms	135×	0	invalid
27.0ms	35×	1	valid
4.0ms	3×	3	valid
1.0ms	5×	0	valid

Compiler

Compiled 204 to 35 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-log: 53.0ms (36% of total)

ival-mult: 21.0ms (14.3% of total)

const: 17.0ms (11.6% of total)

ival-sinh: 11.0ms (7.5% of total)

adjust: 10.0ms (6.8% of total)

ival-div: 10.0ms (6.8% of total)

ival-pow2: 7.0ms (4.8% of total)

ival-add: 7.0ms (4.8% of total)

ival-neg: 6.0ms (4.1% of total)

ival-sub: 4.0ms (2.7% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series242.0ms (1.7%)

Memory

11.3MiB live, 281.3MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))>
#<alt (* x x)>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)>
#<alt (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)>
#<alt (* 1/6 (* x x))>
#<alt (log (+ (* 1/6 (* x x)) 1))>
#<alt (+ (* 1/6 (* x x)) 1)>
#<alt (neg (log (/ x (sinh x))))>
#<alt (log (/ x (sinh x)))>
#<alt (/ x (sinh x))>
#<alt (sinh x)>
#<alt (/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))>
#<alt (* (neg (log (neg x))) (neg (log (neg x))))>
#<alt (- (log (neg (sinh x))) (neg (log (neg x))))>
#<alt (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x)))))>
#<alt (* x (+ (* (* x x) -1/37800) 1/2835))>
#<alt (+ (* (* x x) -1/37800) 1/2835)>
#<alt (log (neg (sinh x)))>
#<alt (pow (log (neg (sinh x))) 2)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/3 (/ (* (pow x 2) (+ (log -1) (log x))) (+ (* 2 (log -1)) (* 2 (log x)))))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/18900 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 101/680400 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (+ (* -1/180 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/8505 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (* 1/6 (/ (- (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x)))))))) (+ (* 2 (log -1)) (* 2 (log x)))))))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))>
#<alt (pow (+ (log -1) (log x)) 2)>
#<alt (pow (+ (log -1) (log x)) 2)>
#<alt (pow (+ (log -1) (log x)) 2)>
#<alt (pow (+ (log -1) (log x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (log (/ -1 x)) 2)>
#<alt (pow (log (/ -1 x)) 2)>
#<alt (pow (log (/ -1 x)) 2)>
#<alt (pow (log (/ -1 x)) 2)>
#<alt (+ (* 2 (log -1)) (* 2 (log x)))>
#<alt (+ (* 1/6 (pow x 2)) (+ (* 2 (log -1)) (* 2 (log x))))>
#<alt (+ (* 2 (log -1)) (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))>
#<alt (+ (* 2 (log -1)) (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))>
#<alt (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))>
#<alt (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))>
#<alt (* 1/3 (* (pow x 2) (+ (log -1) (log x))))>
#<alt (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log -1) (log x)))))))>
#<alt (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log -1) (log x))) 1/540)))))))>
#<alt (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (+ (* 2/2835 (+ (log -1) (log x))) (* (pow x 2) (+ 101/680400 (* -1/18900 (+ (log -1) (log x)))))) 1/540)))))))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))>
#<alt (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt 1/2835>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (+ (log x) (* 1/6 (pow x 2))))>
#<alt (+ (log -1) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))>
#<alt (+ (log -1) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))>
#<alt (pow (+ (log -1) (log x)) 2)>
#<alt (+ (* 1/3 (* (pow x 2) (+ (log -1) (log x)))) (pow (+ (log -1) (log x)) 2))>
#<alt (+ (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log -1) (log x))))))) (pow (+ (log -1) (log x)) 2))>
#<alt (+ (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log -1) (log x))) 1/540))))))) (pow (+ (log -1) (log x)) 2))>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>
#<alt (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)>

Calls

57 calls:

Time	Variable		Point	Expression
90.0ms	x	@	-inf	(/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))
44.0ms	x	@	-inf	(neg (log (/ x (sinh x))))
42.0ms	x	@	inf	(/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))
26.0ms	x	@	0	(* x x)
17.0ms	x	@	inf	(neg (log (/ x (sinh x))))

rewrite381.0ms (2.7%)

Memory

3.0MiB live, 517.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 230×	`/-lowering-/.f32`
4 230×	`/-lowering-/.f64`
4 184×	`accelerator-lowering-fma.f32`
4 184×	`accelerator-lowering-fma.f64`
3 616×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	155
1	203	150
2	1559	149
0	8347	136

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 833

Calls

Call 1

Inputs
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(* x x)
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(* 1/6 (* x x))
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
(neg (log (/ x (sinh x))))
(log (/ x (sinh x)))
(/ x (sinh x))
(sinh x)
(/ (- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x))))) (- (log (neg (sinh x))) (neg (log (neg x)))))
(* (neg (log (neg x))) (neg (log (neg x))))
(- (log (neg (sinh x))) (neg (log (neg x))))
(- (pow (log (neg (sinh x))) 2) (* (neg (log (neg x))) (neg (log (neg x)))))
(* x (+ (* (* x x) -1/37800) 1/2835))
(+ (* (* x x) -1/37800) 1/2835)
(log (neg (sinh x)))
(pow (log (neg (sinh x))) 2)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))) x) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (fma.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))) (.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8037225 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))))
(.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))
(log.f64 (neg.f64 (sinh.f64 x)))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (log.f64 (neg.f64 (sinh.f64 x)))))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 0 binary64))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (sinh.f64 x)))
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(fma.f64 (pow.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (sinh.f64 x))))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 (neg.f64 (sinh.f64 x))))
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(pow.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (neg.f64 (sinh.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (neg.f64 (sinh.f64 x))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (neg.f64 (sinh.f64 x))))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (neg.f64 (sinh.f64 x)))))
(*.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))))

simplify759.0ms (5.4%)

Memory

-12.6MiB live, 429.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 238×	`accelerator-lowering-fma.f32`
13 238×	`accelerator-lowering-fma.f64`
6 570×	`+-lowering-+.f64`
6 570×	`+-lowering-+.f32`
4 190×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	3399
1	857	3267
2	2707	2973
0	8359	2859

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
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(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/3 (/ (* (pow x 2) (+ (log -1) (log x))) (+ (* 2 (log -1)) (* 2 (log x)))))
(* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))
(* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))
(* (pow x 2) (+ (* 1/3 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* (pow x 2) (- (+ (* -1/18900 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 101/680400 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (+ (* -1/180 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* 1/8505 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (* 1/6 (/ (- (* 2/2835 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x)))))))) (+ (* 2 (log -1)) (* 2 (log x)))))))))) (+ (* -1/540 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2))) (+ (* 1/540 (/ 1 (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/6 (/ (- (+ (* -1/90 (/ (+ (log -1) (log x)) (+ (* 2 (log -1)) (* 2 (log x))))) (* 1/36 (/ 1 (+ (* 2 (log -1)) (* 2 (log x)))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))) (+ (* 2 (log -1)) (* 2 (log x))))))))))) (* 1/18 (/ (+ (log -1) (log x)) (pow (+ (* 2 (log -1)) (* 2 (log x))) 2)))))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)) (+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x))))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))
(/ (- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2)) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x)))))
(pow (+ (log -1) (log x)) 2)
(pow (+ (log -1) (log x)) 2)
(pow (+ (log -1) (log x)) 2)
(pow (+ (log -1) (log x)) 2)
(pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ 1 x)))) 2)
(pow (log (/ -1 x)) 2)
(pow (log (/ -1 x)) 2)
(pow (log (/ -1 x)) 2)
(pow (log (/ -1 x)) 2)
(+ (* 2 (log -1)) (* 2 (log x)))
(+ (* 1/6 (pow x 2)) (+ (* 2 (log -1)) (* 2 (log x))))
(+ (* 2 (log -1)) (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
(+ (* 2 (log -1)) (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
(+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))
(+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))
(+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))
(+ (log -1) (+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ 1 x)))))
(+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))
(+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))
(+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))
(+ (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) (* -1 (log (/ -1 x))))
(* 1/3 (* (pow x 2) (+ (log -1) (log x))))
(* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log -1) (log x)))))))
(* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log -1) (log x))) 1/540)))))))
(* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (+ (* 2/2835 (+ (log -1) (log x))) (* (pow x 2) (+ 101/680400 (* -1/18900 (+ (log -1) (log x)))))) 1/540)))))))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (+ (log -1) (* -1 (log (/ 1 x)))) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))
(- (pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2) (pow (log (/ -1 x)) 2))
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log -1) (log x))
(+ (log -1) (+ (log x) (* 1/6 (pow x 2))))
(+ (log -1) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
(+ (log -1) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(log (neg (* 1/2 (- (exp x) (/ 1 (exp x))))))
(pow (+ (log -1) (log x)) 2)
(+ (* 1/3 (* (pow x 2) (+ (log -1) (log x)))) (pow (+ (log -1) (log x)) 2))
(+ (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (* -1/90 (+ (log -1) (log x))))))) (pow (+ (log -1) (log x)) 2))
(+ (* (pow x 2) (+ (* 1/3 (+ (log -1) (log x))) (* (pow x 2) (+ 1/36 (+ (* -1/90 (+ (log -1) (log x))) (* (pow x 2) (- (* 2/2835 (+ (log -1) (log x))) 1/540))))))) (pow (+ (log -1) (log x)) 2))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64))) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* -1/37800 (pow x 4))
(.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x)))
(* -1/37800 (pow x 4))
(.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/72 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/648 binary64) #s(literal -1/72 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5184 binary64) #s(literal 1/648 binary64)) #s(literal -1/72 binary64)) #s(literal 1/6 binary64))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal -18 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
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(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))
(pow (log (neg (* 1/2 (- (exp x) (/ 1 (exp x)))))) 2)
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 2 binary64))

eval189.0ms (1.3%)

Memory: -3.4MiB live, 226.4MiB allocated
Compiler: Compiled 42 699 to 3 143 computations (92.6% saved)

prune143.0ms (1%)

Memory

-12.5MiB live, 317.1MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 236	13	1 249
Fresh	2	6	8
Picked	2	3	5
Done	0	1	1
Total	1 240	23	1 263

Accuracy

98.2%

Counts

1 263 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	23.8%	(fma.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))))
	25.3%	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))))
	29.5%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	97.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
▶	97.5%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
▶	25.4%	(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
	17.1%	(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
	97.5%	(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
✓	97.5%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
	97.5%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))))))
	97.5%	(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
▶	96.6%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.4%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
	97.0%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
✓	96.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	24.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
✓	50.3%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	96.6%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
▶	50.2%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	49.9%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))
	2.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) #s(literal -1 binary64)))

Compiler

Compiled 1 350 to 536 computations (60.3% saved)

simplify260.0ms (1.8%)

Memory

2.2MiB live, 319.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(*.f64 (sinh.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
✓	cost-diff	640	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))

Rules

5 380×	`accelerator-lowering-fma.f32`
5 380×	`accelerator-lowering-fma.f64`
2 344×	`-lowering-.f32`
2 344×	`-lowering-.f64`
1 184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	302
1	114	296
2	304	294
3	842	294
4	2087	294
5	3037	294
6	3471	294
7	4492	294
8	6635	294
0	8042	263

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)))
(* x x)
x
(/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))
1
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)
(+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)
(* x (+ (* x (* x -1/37800)) 1/2835))
(+ (* x (* x -1/37800)) 1/2835)
(* x -1/37800)
-1/37800
1/2835
-1/180
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(+ (* (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180) (* (* x x) (* x x))) (* x (* x 1/6)))
(+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)
x
(* x (+ (* x (* x -1/37800)) 1/2835))
(+ (* x (* x -1/37800)) 1/2835)
(* x -1/37800)
-1/37800
1/2835
-1/180
(* (* x x) (* x x))
(* x x)
(* x (* x 1/6))
(* x 1/6)
1/6
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(* x x)
x
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(* x (+ (* (* x x) 1/5040) 1/120))
(+ (* (* x x) 1/5040) 1/120)
1/5040
1/120
1/6
1
(- (log (* (sinh x) 2)) (log (+ x x)))
(log (* (sinh x) 2))
(* (sinh x) 2)
(sinh x)
x
2
(log (+ x x))
(+ x x)

Outputs
(/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
(/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
(* x (+ (* x (* x -1/37800)) 1/2835))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(+ (* x (* x -1/37800)) 1/2835)
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* x -1/37800)
(*.f64 x #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(+ (* (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180) (* (* x x) (* x x))) (* x (* x 1/6)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
x
(* x (+ (* x (* x -1/37800)) 1/2835))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(+ (* x (* x -1/37800)) 1/2835)
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* x -1/37800)
(*.f64 x #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(* x (* x 1/6))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* x (+ (* (* x x) 1/5040) 1/120))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(+ (* (* x x) 1/5040) 1/120)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(- (log (* (sinh x) 2)) (log (+ x x)))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
(log (* (sinh x) 2))
(log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(* (sinh x) 2)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh x)
(sinh.f64 x)
x
2
#s(literal 2 binary64)
(log (+ x x))
(log.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)

localize276.0ms (1.9%)

Memory

10.7MiB live, 525.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (+.f64 x x))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	98.9%	(log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
✓	accuracy	73.8%	(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	73.9%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal -1/37800 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
✓	accuracy	99.9%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal -1/37800 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))

Samples

112.0ms	88×	2	valid
45.0ms	121×	0	invalid
32.0ms	36×	1	valid
7.0ms	5×	3	valid
2.0ms	6×	0	valid

Compiler

Compiled 276 to 42 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-log: 45.0ms (27.3% of total)

ival-mult: 41.0ms (24.8% of total)

const: 26.0ms (15.8% of total)

adjust: 19.0ms (11.5% of total)

ival-add: 14.0ms (8.5% of total)

ival-sinh: 10.0ms (6.1% of total)

ival-div: 6.0ms (3.6% of total)

ival-sub: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series153.0ms (1.1%)

Memory

22.1MiB live, 217.2MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)))>
#<alt (* x x)>
#<alt (/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (+ (* (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180) (* (* x x) (* x x))) (* x (* x 1/6)))>
#<alt (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)>
#<alt (* x (+ (* x (* x -1/37800)) 1/2835))>
#<alt (+ (* x (* x -1/37800)) 1/2835)>
#<alt (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)>
#<alt (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)>
#<alt (- (log (* (sinh x) 2)) (log (+ x x)))>
#<alt (log (* (sinh x) 2))>
#<alt (* (sinh x) 2)>
#<alt (sinh x)>
#<alt (* x -1/37800)>
#<alt (* (* x x) (* x x))>
#<alt (* x (+ (* (* x x) 1/5040) 1/120))>
#<alt (log (+ x x))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))>
#<alt (/ -37800 (pow x 6))>
#<alt (* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt (/ -37800 (pow x 6))>
#<alt (* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt 1/2835>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (+ (log x) (* 1/6 (pow x 2))))>
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))>
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (log (- (exp x) (/ 1 (exp x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>

Calls

63 calls:

Time	Variable		Point	Expression
93.0ms	x	@	inf	(- (log (* (sinh x) 2)) (log (+ x x)))
42.0ms	x	@	-inf	(- (log (* (sinh x) 2)) (log (+ x x)))
6.0ms	x	@	0	(log (+ x x))
1.0ms	x	@	0	(- (log (* (sinh x) 2)) (log (+ x x)))
1.0ms	x	@	0	(* (sinh x) 2)

rewrite498.0ms (3.5%)

Memory

-11.5MiB live, 575.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 140×	`accelerator-lowering-fma.f32`
5 140×	`accelerator-lowering-fma.f64`
4 186×	`-lowering-.f32`
4 186×	`-lowering-.f64`
3 970×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	223
1	246	213
2	1928	213
0	8202	187

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 723

Calls

Call 1

Inputs
(/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)))
(* x x)
(/ 1 (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)
(* (* x 1/6) x)
(* x 1/6)
(+ (* (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180) (* (* x x) (* x x))) (* x (* x 1/6)))
(+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)
(* x (+ (* x (* x -1/37800)) 1/2835))
(+ (* x (* x -1/37800)) 1/2835)
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(- (log (* (sinh x) 2)) (log (+ x x)))
(log (* (sinh x) 2))
(* (sinh x) 2)
(sinh x)
(* x -1/37800)
(* (* x x) (* x x))
(* x (+ (* (* x x) 1/5040) 1/120))
(log (+ x x))

Outputs
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x x))) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/5832000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 1/32400 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/32400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/5832000 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 1/32400 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/32400 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
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(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) x)) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) x)
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (log.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(neg.f64 (log.f64 (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 (log.f64 (fma.f64 x x #s(literal 0 binary64))) (log.f64 (fma.f64 x x #s(literal 0 binary64))) (.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (log.f64 (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)) (fma.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)) (*.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 x x)))

simplify385.0ms (2.7%)

Memory

36.3MiB live, 706.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 372×	`accelerator-lowering-fma.f32`
13 372×	`accelerator-lowering-fma.f64`
3 960×	`+-lowering-+.f64`
3 960×	`+-lowering-+.f32`
3 848×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	2296
1	590	2272
2	1524	2258
3	4360	2258
4	7914	2258
0	8144	2139

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log 2) (* -1 (log (/ 1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (log (- (exp x) (/ 1 (exp x)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+ (log 2) (log x))
(+ (log 2) (+ (log x) (* 1/6 (pow x 2))))
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
(+ (log 2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(log (- (exp x) (/ 1 (exp x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(/ -37800 (pow x 6))
(/.f64 #s(literal -37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (.f64 x x))) (/.f64 #s(literal -116060000 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ -37800 (pow x 6))
(/.f64 #s(literal -37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (.f64 x x))) (/.f64 #s(literal -116060000 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* -1/37800 (pow x 4))
(.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* -1/37800 (pow x 4))
(.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -53/1814400 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
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eval467.0ms (3.3%)

Memory: -30.0MiB live, 382.2MiB allocated
Compiler: Compiled 49 131 to 3 051 computations (93.8% saved)

prune174.0ms (1.2%)

Memory

3.9MiB live, 317.5MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1 290	15	1 305
Fresh	7	7	14
Picked	4	1	5
Done	0	4	4
Total	1 301	27	1 328

Accuracy

98.2%

Counts

1 328 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(fma.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))))
	97.0%	(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	2.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (fma.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
▶	97.7%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
▶	97.3%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
	97.3%	(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
▶	97.0%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
▶	96.6%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
	97.6%	(-.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	25.4%	(-.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x)))
	1.5%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))))
	97.4%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
	97.5%	(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
✓	97.5%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	96.6%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.6%	(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
	97.4%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
	97.0%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
✓	96.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	24.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
✓	50.3%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	97.6%	(log1p.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
	96.6%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
	49.9%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	48.4%	(log.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) #s(literal 1 binary64)))
✓	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))
	2.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) #s(literal -1 binary64)))

Compiler

Compiled 1 800 to 538 computations (70.1% saved)

simplify141.0ms (1%)

Memory

1.2MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
✓	cost-diff	12800	(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	384	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))

Rules

3 804×	`accelerator-lowering-fma.f32`
3 804×	`accelerator-lowering-fma.f64`
1 432×	`-lowering-.f32`
1 432×	`-lowering-.f64`
952×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	135	311
2	381	307
3	833	307
4	1311	307
5	1845	307
6	2087	307
7	2104	307
8	2138	307
9	2312	307
10	2320	307
11	2322	307
12	2322	307
13	2591	307
14	2592	307
15	2593	307
0	2593	269

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6))
(* x x)
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6)
(+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)
(+ (* (* x x) 31/94500) -19/3150)
31/94500
-19/3150
1/5
6
(/ (* x x) 6)
(* x x)
x
6
(/ (* x x) (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6))
(* x x)
x
(+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6)
(+ (* (* x x) -19/3150) 1/5)
-19/3150
1/5
6
(log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))
(+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1)
(* x x)
x
(* (* x (* x (* x x))) 1/5040)
(* x (* x (* x x)))
(* x (* x x))
1/5040
1
(/ (* x x) (/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))))
(* x x)
x
(/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)))
1
(exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))
(* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)
(log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6))
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)
(+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)
(+ (* (* x x) -1/37800) 1/2835)
-1/37800
1/2835
-1/180
1/6

Outputs
(/ (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))
(+ (* (* x x) 31/94500) -19/3150)
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
31/94500
#s(literal 31/94500 binary64)
-19/3150
#s(literal -19/3150 binary64)
1/5
#s(literal 1/5 binary64)
6
#s(literal 6 binary64)
(/ (* x x) 6)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ (* x x) (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ (* (* x x) -19/3150) 1/5)
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
-19/3150
#s(literal -19/3150 binary64)
1/5
#s(literal 1/5 binary64)
6
#s(literal 6 binary64)
(log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))
(log1p.f64 (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1)
(fma.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(* (* x (* x (* x x))) 1/5040)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1/5040
#s(literal 1/5040 binary64)
1
#s(literal 1 binary64)
(/ (* x x) (/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
(/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)
(log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(+ (* (* x x) -1/37800) 1/2835)
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
-1/37800
#s(literal -1/37800 binary64)
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)

localize537.0ms (3.8%)

Memory

1.3MiB live, 426.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
✓	accuracy	98.5%	(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	84.8%	(log.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))

Samples

248.0ms	218×	2	valid
21.0ms	25×	1	valid
7.0ms	5×	3	valid
2.0ms	5×	0	invalid
1.0ms	3×	0	valid

Compiler

Compiled 314 to 44 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-log: 73.0ms (31.2% of total)

ival-mult: 41.0ms (17.5% of total)

const: 39.0ms (16.7% of total)

adjust: 29.0ms (12.4% of total)

ival-add: 22.0ms (9.4% of total)

ival-div: 21.0ms (9% of total)

ival-exp: 8.0ms (3.4% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series60.0ms (0.4%)

Memory

24.4MiB live, 67.0MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6))>
#<alt (* x x)>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6)>
#<alt (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)>
#<alt (/ (* x x) 6)>
#<alt (/ (* x x) (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6))>
#<alt (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6)>
#<alt (+ (* (* x x) -19/3150) 1/5)>
#<alt (log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))>
#<alt (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1)>
#<alt (* (* x (* x (* x x))) 1/5040)>
#<alt (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))>
#<alt (/ (* x x) (/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))))>
#<alt (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)>
#<alt (+ (* (* x x) 31/94500) -19/3150)>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)))>
#<alt (+ (* (* x x) -1/37800) 1/2835)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (/ 94500/31 (pow x 4))>
#<alt (/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))>
#<alt (/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))>
#<alt (/ 94500/31 (pow x 4))>
#<alt (/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))>
#<alt (/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))>
#<alt (* 31/94500 (pow x 6))>
#<alt (* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* 31/94500 (pow x 6))>
#<alt (* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt 1/5>
#<alt (+ 1/5 (* -19/3150 (pow x 2)))>
#<alt (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))>
#<alt (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))>
#<alt (* 31/94500 (pow x 4))>
#<alt (* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* 31/94500 (pow x 4))>
#<alt (* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -59/3402000 (pow x 2)))) 1/180))))>
#<alt (/ -3150/19 (pow x 2))>
#<alt (* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -3150/19 (pow x 2))>
#<alt (* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (* -19/3150 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))>
#<alt (* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))>
#<alt (* -19/3150 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))>
#<alt (* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))>
#<alt 1/5>
#<alt (+ 1/5 (* -19/3150 (pow x 2)))>
#<alt (+ 1/5 (* -19/3150 (pow x 2)))>
#<alt (+ 1/5 (* -19/3150 (pow x 2)))>
#<alt (* -19/3150 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* -19/3150 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt (* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))>
#<alt 0>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* -1/50803200 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/5040 (* (pow x 6) (- (* 1/384072192000 (pow x 6)) 1/50803200))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))>
#<alt 1>
#<alt (+ 1 (* 1/5040 (pow x 6)))>
#<alt (+ 1 (* 1/5040 (pow x 6)))>
#<alt (+ 1 (* 1/5040 (pow x 6)))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (log 1/6)>
#<alt (+ (log 1/6) (* -1/30 (pow x 2)))>
#<alt (+ (log 1/6) (* (pow x 2) (- (* 59/37800 (pow x 2)) 1/30)))>
#<alt (+ (log 1/6) (* (pow x 2) (- (* (pow x 2) (+ 59/37800 (* -19/189000 (pow x 2)))) 1/30)))>
#<alt (+ (log -1/37800) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log -1/37800) (* -6 (log (/ 1 x)))) (* 40/3 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))>
#<alt (+ (log -1/37800) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log -1/37800) (* -6 (log (/ -1 x)))) (* 40/3 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))>
#<alt -19/3150>
#<alt (- (* 31/94500 (pow x 2)) 19/3150)>
#<alt (- (* 31/94500 (pow x 2)) 19/3150)>
#<alt (- (* 31/94500 (pow x 2)) 19/3150)>
#<alt (* 31/94500 (pow x 2))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* 31/94500 (pow x 2))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))>
#<alt (/ -37800 (pow x 6))>
#<alt (* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt (/ -37800 (pow x 6))>
#<alt (* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt 1/2835>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>

Calls

57 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))
10.0ms	x	@	0	(log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))
1.0ms	x	@	inf	(* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)
1.0ms	x	@	inf	(/ (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6))
0.0ms	x	@	inf	(/ (* x x) (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6))

rewrite988.0ms (7%)

Memory

4.3MiB live, 560.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`accelerator-lowering-fma.f32`
5 068×	`accelerator-lowering-fma.f64`
3 998×	`-lowering-.f32`
3 998×	`-lowering-.f64`
3 934×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	287	227
2	2178	223
0	8306	193

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 536

Calls

Call 1

Inputs
(/ (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6))
(* x x)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)) 6)
(+ (* (* x x) (+ (* (* x x) 31/94500) -19/3150)) 1/5)
(/ (* x x) 6)
(/ (* x x) (+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6))
(+ (* (* x x) (+ (* (* x x) -19/3150) 1/5)) 6)
(+ (* (* x x) -19/3150) 1/5)
(log (+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1))
(+ (* (* x x) (* (* x (* x (* x x))) 1/5040)) 1)
(* (* x (* x (* x x))) 1/5040)
(exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))
(/ (* x x) (/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1))))
(* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)
(+ (* (* x x) 31/94500) -19/3150)
(* x (* x x))
(* x (* x (* x x)))
(/ 1 (exp (* (log (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/37800) 1/2835)) -1/180)) 1/6)) 1)))
(+ (* (* x x) -1/37800) 1/2835)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (.f64 x x)) #s(literal -1 binary64))
(.f64 x (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))) (*.f64 x x))
(.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))) x)
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal -36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64))) (/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)))))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal -36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal -36 binary64))) (/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))))) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(+.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)))))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal -6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) (-.f64 #s(literal 6 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))))))
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(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x #s(literal -1/37800 binary64)) x #s(literal 1/2835 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64))) (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)))) (neg.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (fma.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64)) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))

simplify559.0ms (4%)

Memory

0.8MiB live, 518.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
4 136×	`-lowering-.f32`
4 136×	`-lowering-.f64`
3 436×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	2120
1	614	2118
2	1500	2102
3	3791	2086
0	8356	1963

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(/ 94500/31 (pow x 4))
(/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))
(/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))
(/ 94500/31 (pow x 4))
(/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))
(/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(* 31/94500 (pow x 6))
(* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))
(* 31/94500 (pow x 6))
(* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))
1/5
(+ 1/5 (* -19/3150 (pow x 2)))
(+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))
(+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))
(* 31/94500 (pow x 4))
(* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* 31/94500 (pow x 4))
(* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -59/3402000 (pow x 2)))) 1/180))))
(/ -3150/19 (pow x 2))
(* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))
(/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))
(/ -3150/19 (pow x 2))
(* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))
(/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(* -19/3150 (pow x 4))
(* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(* -19/3150 (pow x 4))
(* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
1/5
(+ 1/5 (* -19/3150 (pow x 2)))
(+ 1/5 (* -19/3150 (pow x 2)))
(+ 1/5 (* -19/3150 (pow x 2)))
(* -19/3150 (pow x 2))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* -19/3150 (pow x 2))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
0
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* -1/50803200 (pow x 6))))
(* (pow x 6) (+ 1/5040 (* (pow x 6) (- (* 1/384072192000 (pow x 6)) 1/50803200))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))
1
(+ 1 (* 1/5040 (pow x 6)))
(+ 1 (* 1/5040 (pow x 6)))
(+ 1 (* 1/5040 (pow x 6)))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(log 1/6)
(+ (log 1/6) (* -1/30 (pow x 2)))
(+ (log 1/6) (* (pow x 2) (- (* 59/37800 (pow x 2)) 1/30)))
(+ (log 1/6) (* (pow x 2) (- (* (pow x 2) (+ 59/37800 (* -19/189000 (pow x 2)))) 1/30)))
(+ (log -1/37800) (* -6 (log (/ 1 x))))
(- (+ (log -1/37800) (* -6 (log (/ 1 x)))) (* 40/3 (/ 1 (pow x 2))))
(- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))
(- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))
(+ (log -1/37800) (* -6 (log (/ -1 x))))
(- (+ (log -1/37800) (* -6 (log (/ -1 x)))) (* 40/3 (/ 1 (pow x 2))))
(- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))
(- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))
-19/3150
(- (* 31/94500 (pow x 2)) 19/3150)
(- (* 31/94500 (pow x 2)) 19/3150)
(- (* 31/94500 (pow x 2)) 19/3150)
(* 31/94500 (pow x 2))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* 31/94500 (pow x 2))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(/ 94500/31 (pow x 4))
(/.f64 #s(literal 94500/31 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (/.f64 #s(literal -24664500000/29791 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -24664500000/29791 binary64) (/.f64 #s(literal -97110090000000/923521 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(/ 94500/31 (pow x 4))
(/.f64 #s(literal 94500/31 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 94500/31 (* 53865000/961 (/ 1 (pow x 2)))) (/ 24664500000/29791 (pow x 4))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (/.f64 #s(literal -24664500000/29791 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 94500/31 (+ (* -1 (/ (+ 24664500000/29791 (* 97110090000000/923521 (/ 1 (pow x 2)))) (pow x 4))) (* 53865000/961 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 94500/31 binary64) (/.f64 #s(literal 53865000/961 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -24664500000/29791 binary64) (/.f64 #s(literal -97110090000000/923521 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(* 31/94500 (pow x 6))
(*.f64 #s(literal 31/94500 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6 binary64))
(* 31/94500 (pow x 6))
(*.f64 #s(literal 31/94500 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 31/94500 (+ (/ 1/5 (pow x 4)) (* 6 (/ 1 (pow x 6))))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal -19/3150 binary64) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6 binary64))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* -19/3150 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))
(+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))
(* 31/94500 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 31/94500 binary64))))
(* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) #s(literal -19/3150 binary64)))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) #s(literal -19/3150 binary64)))
(* 31/94500 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 31/94500 binary64))))
(* (pow x 4) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) #s(literal -19/3150 binary64)))
(* (pow x 4) (- (+ 31/94500 (/ 1/5 (pow x 4))) (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 31/94500 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) #s(literal -19/3150 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -59/3402000 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -59/3402000 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(/ -3150/19 (pow x 2))
(/.f64 #s(literal -3150/19 binary64) (*.f64 x x))
(* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -3150/19 binary64) (/.f64 #s(literal 1984500/361 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))
(/.f64 (+.f64 #s(literal -3150/19 binary64) (/.f64 (+.f64 #s(literal -1984500/361 binary64) (/.f64 #s(literal -2381400000/6859 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -3150/19 binary64) (/.f64 #s(literal 1984500/361 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2381400000/6859 binary64) (/.f64 #s(literal 2212915950000/130321 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/ -3150/19 (pow x 2))
(/.f64 #s(literal -3150/19 binary64) (*.f64 x x))
(* -1 (/ (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -3150/19 binary64) (/.f64 #s(literal 1984500/361 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 1984500/361 (* 2381400000/6859 (/ 1 (pow x 2)))) (pow x 2))) 3150/19) (pow x 2))
(/.f64 (+.f64 #s(literal -3150/19 binary64) (/.f64 (+.f64 #s(literal -1984500/361 binary64) (/.f64 #s(literal -2381400000/6859 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2381400000/6859 (* 2212915950000/130321 (/ 1 (pow x 2)))) (pow x 4))) (+ 3150/19 (* 1984500/361 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -3150/19 binary64) (/.f64 #s(literal 1984500/361 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2381400000/6859 binary64) (/.f64 #s(literal 2212915950000/130321 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(* -19/3150 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/3150 binary64))))
(* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/3150 binary64) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/3150 binary64) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -19/3150 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/3150 binary64))))
(* (pow x 4) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/3150 binary64) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 4) (- (+ (* 1/5 (/ 1 (pow x 2))) (/ 6 (pow x 4))) 19/3150))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/3150 binary64) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x))))))))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* -19/3150 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(+ 1/5 (* -19/3150 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(+ 1/5 (* -19/3150 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* -19/3150 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/3150 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* -19/3150 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/3150 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))
0
#s(literal 0 binary64)
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* -1/50803200 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) (*.f64 #s(literal -1/50803200 binary64) (pow.f64 x #s(literal 12 binary64))))
(* (pow x 6) (+ 1/5040 (* (pow x 6) (- (* 1/384072192000 (pow x 6)) 1/50803200))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/384072192000 binary64) #s(literal -1/50803200 binary64)) (pow.f64 x #s(literal 12 binary64))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 12700800 binary64) (pow.f64 x #s(literal 12 binary64)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))
(+.f64 (+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 42674688000 binary64) (pow.f64 x #s(literal 18 binary64))) (/.f64 #s(literal -12700800 binary64) (pow.f64 x #s(literal 12 binary64)))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/5040 binary64)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6)))))
(fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 5040 (/ 1 (pow x 6))))) (/ 12700800 (pow x 12)))
(+.f64 (fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/5040 binary64))) (+.f64 (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -12700800 binary64) (pow.f64 x #s(literal 12 binary64)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* 5040 (/ 1 (pow x 6))) (* 42674688000 (/ 1 (pow x 18)))))) (/ 12700800 (pow x 12)))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (-.f64 (/.f64 #s(literal 42674688000 binary64) (pow.f64 x #s(literal 18 binary64))) (-.f64 (/.f64 #s(literal 12700800 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/5040 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(+ 1 (* 1/5040 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(+ 1 (* 1/5040 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64) #s(literal 1 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/6 binary64))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* -1/37800 (pow x 8))
(.f64 #s(literal -1/37800 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* -1/37800 (pow x 8))
(.f64 #s(literal -1/37800 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(log 1/6)
(log.f64 #s(literal 1/6 binary64))
(+ (log 1/6) (* -1/30 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/30 binary64)) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (* (pow x 2) (- (* 59/37800 (pow x 2)) 1/30)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 59/37800 binary64) #s(literal -1/30 binary64))) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (* (pow x 2) (- (* (pow x 2) (+ 59/37800 (* -19/189000 (pow x 2)))) 1/30)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/189000 binary64)) #s(literal 59/37800 binary64)) #s(literal -1/30 binary64)) (log.f64 #s(literal 1/6 binary64)))
(+ (log -1/37800) (* -6 (log (/ 1 x))))
(fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal -1/37800 binary64)))
(- (+ (log -1/37800) (* -6 (log (/ 1 x)))) (* 40/3 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/37800 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal -40/3 binary64) (*.f64 x x))))
(- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))
(+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal -40/3 binary64) (.f64 x x))) (+.f64 (log.f64 #s(literal -1/37800 binary64)) (/.f64 #s(literal 1090/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log -1/37800) (+ (* -6 (log (/ 1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))
(+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal -1/37800 binary64))) (+.f64 (/.f64 #s(literal 1090/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -40/3 binary64) (.f64 x x)) (/.f64 #s(literal -347500/81 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log -1/37800) (* -6 (log (/ -1 x))))
(fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/37800 binary64)))
(- (+ (log -1/37800) (* -6 (log (/ -1 x)))) (* 40/3 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/37800 binary64)) (fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -40/3 binary64) (*.f64 x x))))
(- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (* 40/3 (/ 1 (pow x 2))))
(-.f64 (log.f64 #s(literal -1/37800 binary64)) (-.f64 (/.f64 #s(literal 40/3 binary64) (.f64 x x)) (fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1090/9 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log -1/37800) (+ (* -6 (log (/ -1 x))) (/ 1090/9 (pow x 4)))) (+ (* 40/3 (/ 1 (pow x 2))) (* 347500/81 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 1090/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (+.f64 (log.f64 #s(literal -1/37800 binary64)) (fma.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -40/3 binary64) (.f64 x x)))) (/.f64 #s(literal 347500/81 binary64) (pow.f64 x #s(literal 6 binary64)))))
-19/3150
#s(literal -19/3150 binary64)
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* 31/94500 (pow x 2))
(.f64 (.f64 x x) #s(literal 31/94500 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* 31/94500 (pow x 2))
(.f64 (.f64 x x) #s(literal 31/94500 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(/ -37800 (pow x 6))
(/.f64 #s(literal -37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 37800 binary64) (/.f64 #s(literal 504000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -504000 binary64) (.f64 x x)) (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -116060000 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ -37800 (pow x 6))
(/.f64 #s(literal -37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/.f64 (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -504000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 37800 binary64) (/.f64 #s(literal 504000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 1218000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -504000 binary64) (.f64 x x)) (+.f64 #s(literal -37800 binary64) (/.f64 #s(literal -116060000 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))

eval164.0ms (1.2%)

Memory: -19.9MiB live, 380.5MiB allocated
Compiler: Compiled 33 673 to 3 052 computations (90.9% saved)

prune183.0ms (1.3%)

Memory

-3.3MiB live, 389.3MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1 119	9	1 128
Fresh	4	13	17
Picked	2	3	5
Done	0	5	5
Total	1 125	30	1 155

Accuracy

98.2%

Counts

1 155 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(fma.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))))
	97.0%	(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	2.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (fma.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
✓	97.7%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
✓	97.3%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
	97.3%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
	97.7%	(/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))))
	96.1%	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 #s(literal 1/6 binary64)))))
✓	96.6%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
	97.6%	(-.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	25.4%	(-.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x)))
	1.5%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))))
	97.2%	(.f64 (/.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))))) #s(literal -36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal -6 binary64)))))
	97.4%	(.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal 6 binary64))) x)
	97.5%	(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
✓	97.5%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	96.6%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.4%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
	97.0%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
✓	96.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	24.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
✓	50.3%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	97.6%	(log1p.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
	48.7%	(log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64))))))
	96.6%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
	49.9%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	50.3%	(log.f64 (/.f64 (sinh.f64 x) x))
	92.4%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
	2.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) #s(literal -1 binary64)))
	48.0%	#s(literal 0 binary64)

Compiler

Compiled 2 769 to 581 computations (79% saved)

regimes42.0ms (0.3%)

Memory

22.7MiB live, 104.2MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal 6 binary64))) x)
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(.f64 (/.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))))) #s(literal -36 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal -6 binary64)))))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64))))))
(log.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) #s(literal 1 binary64)))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))))))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 #s(literal 1/6 binary64)))))
(-.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (log.f64 (+.f64 x x)))
(/.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))))) #s(literal 216 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)))) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64))) #s(literal 6 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)))))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(-.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))))
(fma.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (fma.f64 (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))

Outputs
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))

Calls

3 calls:

15.0ms	x
13.0ms	(/.f64 (sinh.f64 x) x)
10.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.7%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes13.0ms (0.1%)

Memory

1.3MiB live, 40.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal 6 binary64))) x)
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)

Outputs
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))

Calls

3 calls:

5.0ms	(/.f64 (sinh.f64 x) x)
5.0ms	x
3.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.5%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes117.0ms (0.8%)

Memory

-11.4MiB live, 27.7MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64))) #s(literal 6 binary64))) x)
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))

Outputs
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))

Calls

3 calls:

109.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
4.0ms	x
3.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.4%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))

Outputs
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (sinh.f64 x) x)
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.3%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes40.0ms (0.3%)

Memory

-41.8MiB live, 14.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))

Outputs
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))

Calls

3 calls:

36.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms	x
2.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))

Outputs
(/.f64 (*.f64 x x) #s(literal 6 binary64))

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.6%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.6%	1	`(/.f64 (sinh.f64 x) x)`
96.6%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)

Outputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (sinh.f64 x) x)
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.6%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory

-27.8MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	x
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
48.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify8.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	86
1	42	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 0 binary64)

Outputs
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 0 binary64)

soundness1.1s (8%)

Memory

-3.8MiB live, 788.7MiB allocated

Rules

16 092×	`accelerator-lowering-fma.f32`
16 092×	`accelerator-lowering-fma.f64`
13 372×	`accelerator-lowering-fma.f32`
13 372×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362
0	251	2120
1	614	2118
2	1500	2102
3	3791	2086
0	8356	1963
0	33	155
1	203	150
2	1559	149
0	8347	136
0	214	2296
1	590	2272
2	1524	2258
3	4360	2258
4	7914	2258
0	8144	2139

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 281 to 144 computations (48.8% saved)

preprocess65.0ms (0.5%)

Memory: -4.4MiB live, 151.2MiB allocated
Compiler: Compiled 248 to 108 computations (56.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze97.0ms (0.7%)

sample3.7s (25.9%)

preprocess186.0ms (1.3%)

explain260.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify114.0ms (0.8%)

localize92.0ms (0.7%)

series63.0ms (0.4%)

rewrite244.0ms (1.7%)

simplify828.0ms (5.9%)

eval67.0ms (0.5%)

prune67.0ms (0.5%)

simplify233.0ms (1.6%)

localize227.0ms (1.6%)

series242.0ms (1.7%)

rewrite381.0ms (2.7%)

simplify759.0ms (5.4%)

eval189.0ms (1.3%)

prune143.0ms (1%)

simplify260.0ms (1.8%)

localize276.0ms (1.9%)

series153.0ms (1.1%)

rewrite498.0ms (3.5%)

simplify385.0ms (2.7%)

eval467.0ms (3.3%)

prune174.0ms (1.2%)

simplify141.0ms (1%)

localize537.0ms (3.8%)

series60.0ms (0.4%)

rewrite988.0ms (7%)

simplify559.0ms (4%)

eval164.0ms (1.2%)

prune183.0ms (1.3%)

regimes42.0ms (0.3%)

regimes13.0ms (0.1%)

regimes117.0ms (0.8%)

regimes8.0ms (0.1%)

regimes40.0ms (0.3%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (8%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling